dw Use the Chain Rule to find where w = cos 12x sin 4y, x = - dt and y = t". 4 dw

Q: Determine the Solutions of ke followsing differential eguation ě (5-x) dx Xy dy %3D

A: A separable differential equation is any equation that can be written in the form. y′=f(x)g(y). The…

Q: Find the change in y, Ay when z = 5 and Ar = 0.2 Find the differential dy when z 5 and da 0.2 Submit…

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Q: Let y = tan(4x + 4). Find the differential dy when x = 4 and dæ 0.2 Find the differential dy when x…

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Q: find dy>dt.…

A: Find dy>dt dydt>1 dcostdt=-sint

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 7x2 – 3 dy =

A:

Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (- 0.01) xe…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2nx - 1 cos 2 dy = ||

A: topic - derivative and differential equation

Q: use the chain rule to find: 28) dv 2- COSxy + y cos x

A: Solution:Given   z= cos xy+ y cos xx=u2+v and y=u-v2To find :dzdvFormula:ddx(cos x)=-sin…

Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t and x = sec-1t

A: To find: The value of dydx in terms of x and y. Given information: y=csct,x=sec-1t

Q: cos 2x dx (b) 4 cos t dt 0 2

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: ecsch(ry) + Tr° -cos(0)

A: Let's find.

Q: Let y tan(5x + 8). Find the differential dy when I = 5 and dr 0.1 Find the differential dy when I 5…

A: y=tan(5x+8)Differentiate on both sidesdy=sec2(5x+8)×5×dxSubstitute x=5  , dx=0.1…

Q: Find the differential dz of the function f(z, y) = 4g²+z*y – 2xy and use it to approximate Az at…

A: Consider the given information:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = xV9 - x² = Ap

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Q: 7. (a) Find dy/dx, when x a(1 + cos 0), y = a (e + sin 0). (b) Differentiate xCOsx w. r. t. (cosx)*.

A: Proceed as shown below...

Q: Find the total differential. w = e3y cos(5x) + z5 ||

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Q: Find dx/dt: x = 2[cos (t/2)]^2

A: x=2cost22

Q: Find the differential dy of the given function. y = csc 5x dy dx

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 7x2 − 3 dy =

A: Given y=7x2-3 Differentiating both sides: dy=14xdx

Q: (a) Find the differential dy. y = cos(x)

A: Differentiate the given function with respect to 'x' and find 'dy'.

Q: y" + y = e sent,

A:

Q: If Z = Jxy +y, x= cos 0 , y= sin 0 when 0 dz By using chain rule find de

A: Chain rule for one independent variable- Suppose that x = g(t) and y = h(t) are differentiable…

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 8Vx + dy

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Q: Find the differential dy of the given function. y = arctan(x - 2) dy dx

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 4 y = 8V dy

A: We can make it easier for you.

Q: 7. (a) Find dy/dx, when x = a(1 + cos 0), y = a (0 + sin 0). (b) Differentiate xcosx w. r. t.…

A: Differentiation using Logarithms: When a function appears as an exponent of another function we make…

Q: Find the differential dy of the function y = Provide your answer below: dy = dx 5x4 + 4 4x + 3

A:

Q: Find the differential dy of the given functions . (Use "dx" for dx.) a) y = 2x − (sin(x))2 b)…

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Q: Let y = tan(3x + 7). Find the differential dy when a = 4 and dæ = 0.3 Find the differential dy when…

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Q: Find the singular sol" of the differential eqh (P+1)² (y-px) = 1 -

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Q: dx + 3x = cos(5t) dt with x(0) = 1. x(t) = %3D

A:

Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx) y = (tan x + sin…

A: The given function is y=tanx+sinx-3 We have to find dydx by using Leibniz’s notation for the chain…

Q: Find dy/dx of the function below. 2x³ + e^(2y) = cos3y

A: 2x3+e2y=cos(3y)Differentiate with respect to…

Q: Find the differential of the function. z = e-5x cos(9xt) dz = dx + dt

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Q: Find dx/dt Xt2 = x – cos1 (t)?

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Q: dx + 3x dt cos(5t) %3D with x(0) = 1. x(t) = %3D

A: The given initial value problem is: dxdt+3x=cos(5t) ;         x(0)=1

Q: Find the differential dy of the function y Provide your answer below: dy= dx = 5x4 + 4 4x + 3

A: y=5x4+44x+3Differentiate w.r.t xdydx=4x+320x3-5x4+444x+32

Q: Find the number N such that the differential (y^3-2x)dx+Nxy^2dy is exact

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.)

A: Recall the following fact.

Q: Let y = tan(4r + 8). Find the differential dy when a = 4 and da = 0.3 Find the differential dy when…

A: Differential equation: - A differential equation is an equation that contains the derivative of an…

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 7 dy

A:

Q: Find the differential of the function. Z = e-9x cos(2rt) dz = dx + dt %3D

A: The total differential of the function  is given by . So, to find , first we need to find the…

Q: Find the value of dz and 8z/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe…

A: Given  data  xey+2z-cos(xy)+ey-ln2=4  ,  A(ln2,0) Also given  when x changes by (dx=0.01) and y…

Q: 5. Find dt ,y = cos(sin(t – 4))

A: Given function is: y=cossint-4 Derivation of the above function with respect to t. dydt=ddtcossint-4

Q: Let y = tan(4æ + 5). Find the differential dy when a = 5 and da 0.2 %3D %3D

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Can you help me step by step?

A: Given information:

Q: dx y of y = dy cos-1(ln (xy)) Find

A: We write cos-1 as acos for simplicity. The derivative is too complex. So, we take the help of an…

Q: dx 2- Find dy of y = /cos-1(In (xy)) y %3D

A: Given: - The function is, y=cos-1(ln(xy))xy To find: - The derivative of the function, dxdy

Q: dw Find dx where w = cosz- cos 4x cos'4y + sin 4x sin 4y and z= 4x+ 4y. dw 口

A: lfirst put value of z and then expand cos term Now we get Zero whose derivative is zero

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 4x + (sin(x))² dy

A: The solution is given below